The derivative of plogis is surely dlogis. (And yes, there is a good reason why we have such a function: take a look at its C code.)

That means we would need an entry for dlogis too, I guess. I am not convinced that there is a real need for these (and where does this stop?) What would be much more useful is to make this user-extensible (as Bill Venables pointed out a decade ago). [pd]norm were added in 2002 to support MASS, the ability to do all of MASS in R being a goal at the time.

On Thu, 14 Aug 2008, Ben Bolker wrote:


 I added "plogis" to the derivative table in the
development version of R; the patch against yesterday's
R-devel src/deriv/main.c is available at
http://www.zoology.ufl.edu/bolker/deriv_patch.txt .

 I pretty much followed the framework of the other symbols;
here was my incantation

-       } else if (CAR(expr) == PlogisSymbol) {
-           ans = simplify(TimesSymbol,
-                          PP_S(TimesSymbol,
-                               PP_S2(ExpSymbol,
-                                  PP_S2(MinusSymbol,CADR(expr))),
-                               PP_S(PowerSymbol,
-                                    PP_S(PlusSymbol,
-                                         Constant(1.),
-                                         PP_S2(ExpSymbol,
-                                            PP_S2(MinusSymbol,CADR(expr)))),
-                                    Constant(-2.))),
-                          PP(D(CADR(expr),var)));
-           UNPROTECT(8);

It seems to work:

D(quote(plogis(a)),"a")
exp(-a) * (1 + exp(-a))^-2
D(quote(plogis(a+b*x)),"x")
exp(-(a + b * x)) * (1 + exp(-(a + b * x)))^-2 * b

 Any thoughts?  I'm sure there's a cleverer way to do this ...

 Ben Bolker

 PS I get a minor build error at the end of the compilation
(on Ubuntu 8.10):

make[2]: *** No rule to make target `VR.ts', needed by
`stamp-recommended'.  Stop.
make[2]: Leaving directory
`/usr/local/src/R/R-devel/src/library/Recommended'
make[1]: *** [recommended-packages] Error 2
make[1]: Leaving directory
`/usr/local/src/R/R-devel/src/library/Recommended'
make: *** [stamp-recommended] Error 2

 ... don't know if that is important or not.

A local-to-you problem.




--
Brian D. Ripley,                  [EMAIL PROTECTED]
Professor of Applied Statistics,  http://www.stats.ox.ac.uk/~ripley/
University of Oxford,             Tel:  +44 1865 272861 (self)
1 South Parks Road,                     +44 1865 272866 (PA)
Oxford OX1 3TG, UK                Fax:  +44 1865 272595

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